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10071 = 33373
BaseRepresentation
bin10011101010111
3111211000
42131113
5310241
6114343
741235
oct23527
914730
1010071
117626
1259b3
134779
143955
152eb6
hex2757

10071 has 8 divisors (see below), whose sum is σ = 14960. Its totient is φ = 6696.

The previous prime is 10069. The next prime is 10079. The reversal of 10071 is 17001.

Adding to 10071 its reverse (17001), we get a palindrome (27072).

It can be divided in two parts, 100 and 71, that added together give a palindrome (171).

It is not a de Polignac number, because 10071 - 21 = 10069 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

10071 is a lucky number.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10079) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 160 + ... + 213.

It is an arithmetic number, because the mean of its divisors is an integer number (1870).

210071 is an apocalyptic number.

10071 is the 54-th nonagonal number.

10071 is a deficient number, since it is larger than the sum of its proper divisors (4889).

10071 is an equidigital number, since it uses as much as digits as its factorization.

10071 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 7, while the sum is 9.

The square root of 10071 is about 100.3543721021. The cubic root of 10071 is about 21.5952149894.

The spelling of 10071 in words is "ten thousand, seventy-one", and thus it is an iban number.

Divisors: 1 3 9 27 373 1119 3357 10071